Unknot
Unknot The unknot, and a knot equivalent to it The unknot arises in the mathematical theory of knots. Intuitively, the unknot is a closed loop of rope without ... it. A knot theorist would describe the unknot as an image of any embedding ...
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Image:Thistlethwaite unknot.png
Image:Thistlethwaite unknot.png Image File history File links Download ... this. Use it freely. This is a unknot described by Morwen Thistlethwaite. Licensing � This ...
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Talk:Knot polynomial
... the figure 8 knot, which is the unknot twisted once. You have to normalize by ... you are talking about is indeed the unknot. What does it mean to "drop any ... which can divide into naught but the unknot and itself is said to be prime ... L_+}(x) with $\backslash nabla\_\{\backslash rm$unknot}(x)=1 It relates to the ... L_+}(x) with $V\_\{\backslash rm$unknot}(x)=1. Can sometimes distinguish ...
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Seifert surface
... Examples The standard Möbius strip has the unknot for a boundary but is not considered ... to be a Seifert surface for the unknot because it is not orientable. The "checkerboard ... Seifert surfaces for K. For instance: An unknot — which is, by definition, the boundary ... disc — has genus zero. Moreover, the unknot is the only knot with genus zero ...
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Skein relation
... math> be such that $P(\{\backslash rm$unknot})=1 and a triple of skein ... P() = A � P() + P() gives the unknot and, again, the Hopf link. Patching the ... link with 0 crossings (unlink) and an unknot. The unlink takes a bit of sneakiness ... P (diagram) skein equation ? P in full unknot defined as 1 x→1 unlink 1=A ...
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Knot theory
... be done, the knot is called the unknot. Modern knot theory has extended the concept ... embeddings are different or the same. The unknot, and a knot equivalent to it Before ... the Alexander polynomial. Higher dimensions You can unknot any circle in four dimensions. There are ... n-spheres. While you cannot form the unknot in three dimensions by adding two non ...
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Connected sum
... pulling it along the other knot. The unknot is the unit. The trefoil knot is ... the n-spheres. You cannot form the unknot in three dimensions by adding two non ... dimensions, it is possible to get an unknot by adding two nontrivial knots. See also ...
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User:Mathbot/Logged misspellings (old1)
... States of America Mathematical Olympiad 968 unknow unknot Unknot 969 mininum minimum Upside potential ratio 970 ...
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Link (mathematics)
... with three components each equivalent to the unknot. In mathematics, a link is a collection ... with three components each equivalent to the unknot. The three are linked despite the fact ...
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Knot (mathematics)
... knot theory. The simplest knot, called the unknot, is just a standard circle embedded in ... the ordinary sense of the word, the unknot is not "knotted" at all. The simplest ...
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